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Finding the Fourth Proportional to 77,712.64, 107,287.68 and 51,293.44

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Solution

The fourth proportional to 77,712.64, 107,287.68 and 51,293.44 is: 70,814.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,712.64 : 107,287.68 = 51,293.44 : x
  2. Step 2: Convert to fraction form
    77,712.64/107,287.68 = 51,293.44/x
  3. Step 3: Cross multiply
    77,712.64x = 107,287.68 × 51,293.44
  4. Step 4: Simplify right side
    77,712.64x = 5,503,154,176.82
  5. Step 5: Solve for x
    x = 5,503,154,176.82/77,712.64
  6. Step 6: Final answer
    x = 70,814.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.